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Finding the Fourth Proportional to 29,805.76, 41,129.12 and 17,866.88

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Solution

The fourth proportional to 29,805.76, 41,129.12 and 17,866.88 is: 24,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,805.76 : 41,129.12 = 17,866.88 : x
  2. Step 2: Convert to fraction form
    29,805.76/41,129.12 = 17,866.88/x
  3. Step 3: Cross multiply
    29,805.76x = 41,129.12 × 17,866.88
  4. Step 4: Simplify right side
    29,805.76x = 734,849,051.55
  5. Step 5: Solve for x
    x = 734,849,051.55/29,805.76
  6. Step 6: Final answer
    x = 24,654.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.